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Finding the Fourth Proportional to 13,704.48, 20,549.68 and 6,684.80

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Solution

The fourth proportional to 13,704.48, 20,549.68 and 6,684.80 is: 10,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.48 : 20,549.68 = 6,684.80 : x
  2. Step 2: Convert to fraction form
    13,704.48/20,549.68 = 6,684.80/x
  3. Step 3: Cross multiply
    13,704.48x = 20,549.68 × 6,684.80
  4. Step 4: Simplify right side
    13,704.48x = 137,370,381.40
  5. Step 5: Solve for x
    x = 137,370,381.40/13,704.48
  6. Step 6: Final answer
    x = 10,023.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.